|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNISA996466665403316 |
|
|
Autore |
Swan Richard G. |
|
|
Titolo |
Algebraic K-theory / / Richard G. Swan |
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Berlin, Germany ; ; New York, New York : , : Springer, , [1968] |
|
©1968 |
|
|
|
|
|
|
|
|
|
ISBN |
|
|
|
|
|
|
Edizione |
[1st ed. 1968.] |
|
|
|
|
|
Descrizione fisica |
|
1 online resource (IV, 264 p.) |
|
|
|
|
|
|
Collana |
|
Lecture Notes in Mathematics, , 0075-8434 ; ; 76 |
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
K-theory |
Categories (Mathematics) |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Note generali |
|
Bibliographic Level Mode of Issuance: Monograph |
|
|
|
|
|
|
Nota di contenuto |
|
Category Theory -- Quotient categories -- Definition of KO(A) and some examples -- Krull-Schmidt theorems and applications -- Definition of G(R) and examples -- The connection between KO(R) and GO(R) -- Localization and relation between GO(R) and GO(RS) -- KO of graded rings -- Spec (R) and H(R) -- Picard group and the determinant -- Basic topological remarks -- Chain complexes and the nilpotence of of -- Serre's theorem -- Cancerllation theorems -- K1(A) -- K2(R) -- The exact sequence of Ki's -- Further results on K1 and K0 -- Relations between algebraic and topological K theory. |
|
|
|
|
|
|
|
|
Sommario/riassunto |
|
From the Introduction: "These notes are taken from a course on algebraic K-theory [given] at the University of Chicago in 1967. They also include some material from an earlier course on abelian categories, elaborating certain parts of Gabriel's thesis. The results on K-theory are mostly of a very general nature.". |
|
|
|
|
|
|
|